Question

value of cos30-sin60/1-cos60-sin30

Answer 1

cos30 - sin(90-30)/1-cos60-sin(90-60)
=cos30 - cos30/ 1- cos60-cos60---as sin(90-a)=cos a
=0/1-0

Answer 2

$Hey \hspace{1mm} There\hspace{1mm} ! \\\\ Thanks \hspace{1mm} for \hspace{1mm} the \hspace{1mm} question\hspace{1mm} ! \\\\ Solution: \\\\ To \hspace{1mm} get \hspace{1mm} started\hspace{1mm}we\hspace{1mm}need\hspace{1mm}to\hspace{1mm}know\hspace{1mm}some\hspace{1mm}basic\hspace{1mm}trigonometric\hspace{1mm}values\hspace{1mm}of\hspace{1mm} the\hspace{1mm}following\hspace{1mm}degrees\hspace{1mm} \\\\ Cos \hspace{1mm}30 = \frac{\sqrt{3} }{2} \\\\ Sin \hspace{1mm} 60 = \frac{ \sqrt{3} }{2}$

$Cos\hspace{1mm}60 = \frac{!}{2} \\\\ Sin\hspace{1mm}30 = \frac{1}{2} \\\\ So\hspace{1mm}substituting\hspace{1mm}the \hspace{1mm}values\hspace{1mm}we\hspace{1mm}get, \\\\ \frac{ { \sqrt{3} /{2}} - \sqrt{3} / 2 }{ 1 - \frac{1}{2} - \frac{1}{2} } \\\\ On\hspace{1mm} Simplifying \hspace{1mm} we \hspace{1mm} get, \\\\ \frac{0}{0}$

This value is undefined

Hence the value of this trigonometric equation is 0 / 0 which is undefined.

Hope my answer helped !